Question

equacoes exponenciais
a) 2x=128
b) 5x=1/125
c)0,001x=1000
d)2x-2=8
e) 2x-3=1/8
f) 2x+1=1/4
g) 4x=512
h) 8x=1/16

Answer 1

a) 2x = 128 -> x = 64
b) 5x = 1/125 - > x = 1/125/5 = 1/125 . 1/5 = 1/625 - > x = 1/625
c) 0,001x = 1000 - > ( 1/1000) . x = 1000 - > x = 1000000
d) 2x -2 = 8 -> 2x = 8 + 2 -> 2x = 10 -> x= 5
e) 2x-3 = 1/8 -> 2x = 1/8 + 3 - > 16x = 1 + 24 -> 16x = 25 -> x = 25/16
f) 2x + 1 = 1/4 -> 2x = 1/4 - 1 -> 8x = 1 - 4 -> 8x = -3 -> x = -3/8 = - (3/8)
g) 4x = 512 -> x = 512/4 = 128
h) 8x = 1/16 -> x = 1/16 / 8 = 1/16 . 1/8 = 1/128 - > x = 1/128